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Verifiable affirmative action in Chinese high school admissions

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  • Xinquan Hu
  • Jun Zhang

Abstract

We study the affirmative action policy in Chinese high school admissions, where high schools reserve a proportion of their quotas for graduates of low-performing middle schools. In line with the tradition of accountability, Chinese policymakers aim to ensure a verifiable allocation of reserved seats. We recognize the verifiability of widely used sequential mechanisms, which allocate reserved and open seats in separate stages. However, these mechanisms suffer from strategic complexity, leading to inefficiency and unfairness in the outcome. We then formalize a concept of verifiability for simultaneous mechanisms, which allocate all seats in one stage. We prove that a mechanism is individually rational, strategy-proof, and verifiable if and only if it is the deferred acceptance mechanism associated with one of two choice rules we characterize. We recommend a specific choice rule and mechanism, and discuss their benefits.

Suggested Citation

  • Xinquan Hu & Jun Zhang, 2025. "Verifiable affirmative action in Chinese high school admissions," Papers 2504.04689, arXiv.org.
  • Handle: RePEc:arx:papers:2504.04689
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    References listed on IDEAS

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    1. Parag A. Pathak & Tayfun Sönmez & M. Utku Ünver & M. Bumin Yenmez, 2024. "Fair Allocation of Vaccines, Ventilators and Antiviral Treatments: Leaving No Ethical Value Behind in Healthcare Rationing," Management Science, INFORMS, vol. 70(6), pages 3999-4036, June.
    2. Ehlers, Lars & Hafalir, Isa E. & Yenmez, M. Bumin & Yildirim, Muhammed A., 2014. "School choice with controlled choice constraints: Hard bounds versus soft bounds," Journal of Economic Theory, Elsevier, vol. 153(C), pages 648-683.
    3. Umut Dur & Onur Kesten, 2019. "Sequential versus simultaneous assignment systems and two applications," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 68(2), pages 251-283, September.
    4. Kojima, Fuhito, 2012. "School choice: Impossibilities for affirmative action," Games and Economic Behavior, Elsevier, vol. 75(2), pages 685-693.
    5. Tommy Andersson & Umut Dur & Sinan Ertemel & Onur Kesten, 2024. "Sequential school choice with public and private schools," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 63(2), pages 231-276, September.
    6. Aram Grigoryan & Markus Moller, 2023. "A Theory of Auditability for Allocation Mechanisms," Papers 2305.09314, arXiv.org, revised May 2024.
    7. Aygün, Orhan & Turhan, Bertan, 2023. "Affirmative Action in India: Restricted Strategy Space, Complex Constraints, and Direct Mechanism Design," ISU General Staff Papers 202310041552400000, Iowa State University, Department of Economics.
    8. Tayfun Sönmez & M. Bumin Yenmez, 2022. "Affirmative Action in India via Vertical, Horizontal, and Overlapping Reservations," Econometrica, Econometric Society, vol. 90(3), pages 1143-1176, May.
    9. Eduardo M. Azevedo & Jacob D. Leshno, 2016. "A Supply and Demand Framework for Two-Sided Matching Markets," Journal of Political Economy, University of Chicago Press, vol. 124(5), pages 1235-1268.
    10. Aram Grigoryan & Markus Möller, 2024. "A Theory of Auditability for Allocation Mechanisms," ECONtribute Discussion Papers Series 308, University of Bonn and University of Cologne, Germany.
    11. Yan Chen & Onur Kesten, 2017. "Chinese College Admissions and School Choice Reforms: A Theoretical Analysis," Journal of Political Economy, University of Chicago Press, vol. 125(1), pages 99-139.
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